Mathematical Logic And Boolean Algebra Question 25
Question: $ \tilde{\ }(p\vee q)\vee (\tilde{\ }p\wedge q) $ is equivalent to
Options:
A) q
B) p
C) ~p
D) ~q
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ \sim (p\vee q)\vee (\sim p\wedge q)\equiv (\sim p\wedge \sim q)\vee (\sim p\wedge q) $ $ \equiv \sim q\wedge \sim (\sim (p\wedge q)) $ $ \equiv \tilde{\ }q(p\wedge q) $
BETA
